The Senate committee investigating the Christmas Island asylum seeker boat wreck has found authorities reacted as effectively as possible under atrocious weather conditions.

A boat carrying up to 90 asylum seekers smashed into rocks on the island and sank in heavy seas in December, claiming up to 50 lives.

The committee says Navy and Customs vessels moved as quickly as they could to save the lives of the asylum seekers, and it says the crew members did everything possible to help.

The committee has endorsed previous reviews that have identified ways the response could be improved, and says the Government has made the necessary changes quickly.

The committee as a whole only made three recommendations, mainly concerned with ongoing support for survivors and rescuers.

It says the Government should consider establishing a memorial for the victims of the wreck on the island.

Home Affairs Minister Brendan O'Connor says the Government has already implemented the majority of recommendations from an earlier internal report prepared by Customs.

"Seven of the eight recommendations have been met and there's one still being trialed," he said.

'Disappointing' committee

But Greens Senator Sarah Hanson-Young says the Senate committee's report did not do a thorough enough job.

"I think the committee, the majority report and the three recommendations that are outlined there - while they are important recommendations - I think it's very disappointing that an inquiry into the tragedy on the coast of Christmas Island, which saw the loss of 50 lives has only come up with three recommendations," she said.

"I am extremely disappointed that the committee wasn't able to do more thorough work."

Senator Hanson-Young says the committee heard evidence the surveillance systems designed to detect boat arrivals were not foolproof.

"There is another question and that is of course how we operate our interception, detection, surveillance and monitoring in those high seas," she said.

She says the Greens want an independent review into Australia's border protection surveillance.

Senator Hanson-Young has also called for funding for an emergency services volunteer coordinator on Christmas Island.

Meanwhile, a human rights lawyer says at least one survivor of the shipwreck may be called to give evidence at an inquest.

George Newhouse is representing 20 family members on the boat and says counsel assisting the coroner has asked him if any of the survivors want to give evidence.

Mr Newhouse says he understands coroner Alistair Hope did not intend to call any of those on the doomed boat as he did not want them traumatised any further.

But he says he asked his clients if they wanted to testify at the inquest and so far only one shipwreck survivor has indicated he is willing to do so.

He says an Iraqi man being held at Christmas Island who claims he warned authorities that the asylum seeker boat was on its way may also be called to give evidence.

The inquest, which has held hearings in Perth, moves to Christmas Island on July 11.